Time series 3-dimensional CT(Computer Tomography) measurement (4D-CT) of emission light distribution of a turbulent propane/air premixed flame have been made with a single high speed camera and multi-mirror optical system which has a number of plane mirrors on a ellipsoid of revolution. The high speed camera and the flame were respectively set on two foci of the ellipsoid of revolution in order to focus on each mirror-images of the target flame. First the 3D-CT algorithm employed in this study was verified by using ring-type "phantom distribution". As the result of the 4D-CT measurement, spatio-temporal variations of the turbulent flame luminescence distributions were obtained successfully.